You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in every 18th cereal box, what is the probability of getting the toy you want in any given cereal box? (Round your answer to 3 decimal places.)

The probability of getting the toy you want in any given cereal box is p=0.056.

Step-by-step explanation:

On average, you get the toy you want in every 18th cereal box.

This value corresponds to the mean of a geometric distribution, where it is expected that you get 17 "failures" before the first "success".

The mean of the geometic distribution, whose value is 18, can be written as:

where p is the probability of "success": getting the collector's toy you want.

Then, p has a value of 1/18≈0.056.

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.